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It is given that according to a random sample of $124$kissing couples, it is found that $\raisebox{1ex}{$83$}\!\left/ \!\raisebox{-1ex}{$$}\right.124$$\left(66.9\%\right)$couples tilted to the right.

To check that these data provide convincing evidence $100$simulated $SRSs$were selected.

the dot in the below graph shows the no. of couples tilted to the right while kissing, assuming that each couple has a $50\%$chance of tilting to the right.

a. we need to find how the graph illustrates the concept of sampling variability.

From the graph, we found that each of the samples does not have the same simulated no. of couples who tilt to the right, which shows that there is sampling variability present in the samples.

It is given that according to a random sample of $124$kissing couples, it is found that $\raisebox{1ex}{$83$}\!\left/ \!\raisebox{-1ex}{$124$}\right.$$\left(66.9\%\right)$couples tilted to the right.

To check that these data provide convincing evidence $100$simulated $SRSs$were selected.

the dot in the below graph shows the no. of couples tilted to the right while kissing, assuming that each couple has a $50\%$chance of tilting to the right.

b. we need to check that is there any convincing evidence that couples prefer to kiss the right way.

It is given that $83$of the $124$couples tilted to the right

from the graph, we found that $83$lies on the rightmost side of the dot plot, and in the graph largest dot present on the $76$and $83$is higher than $76$.

then this implies that if each couple had a $50\%$chance of tilting to the right then it is very unlikely that there are $83$couples who tilted to the right and thus we can say that couples tend to prefer to kiss the "right way".